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Finding the Third Proportional to 147,760 and 313,974

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Solution

The third proportional to 147,760 and 313,974 is: 667,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,760 : 313,974 = 313,974 : x
  2. Step 2: Convert to fraction form
    147,760/313,974 = 313,974/x
  3. Step 3: Cross multiply
    147,760x = 313,974 × 313,974
  4. Step 4: Simplify right side
    147,760x = 98,579,672,676
  5. Step 5: Solve for x
    x = 98,579,672,676/147,760
  6. Step 6: Final answer
    x = 667,160.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.